Class information for:
Level 1: REGULARITY CRITERION//REGULARITY CRITERIA//NAVIER STOKES EQUATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
986 2919 22.8 53%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
704 2             NAVIER STOKES EQUATIONS//GLOBAL ATTRACTOR//CAHN HILLIARD EQUATION 12952
986 1                   REGULARITY CRITERION//REGULARITY CRITERIA//NAVIER STOKES EQUATIONS 2919

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 REGULARITY CRITERION authKW 1568476 6% 93% 162
2 REGULARITY CRITERIA authKW 900496 3% 97% 89
3 NAVIER STOKES EQUATIONS authKW 691287 16% 14% 476
4 GLOBAL REGULARITY authKW 665574 3% 64% 99
5 QUASI GEOSTROPHIC EQUATION authKW 423872 2% 70% 58
6 MHD EQUATIONS authKW 362149 2% 56% 62
7 JOURNAL OF MATHEMATICAL FLUID MECHANICS journal 277672 4% 25% 107
8 BLOW UP CRITERION authKW 271978 2% 49% 53
9 STRONG SOLUTION authKW 258632 4% 22% 110
10 SUITABLE WEAK SOLUTIONS authKW 239297 1% 74% 31

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics, Applied 64539 59% 0% 1710
2 Mathematics 51440 57% 0% 1666
3 Physics, Mathematical 5217 12% 0% 360
4 Mechanics 2262 11% 0% 307
5 Physics, Fluids & Plasmas 1912 7% 0% 197
6 Mathematics, Interdisciplinary Applications 775 4% 0% 121
7 Physics, Multidisciplinary 5 3% 0% 74
8 History & Philosophy of Science -2 0% 0% 1
9 Materials Science, Characterization, Testing -3 0% 0% 1
10 Computer Science, Interdisciplinary Applications -5 0% 0% 10

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 MATH CRYPTOL 77785 1% 30% 25
2 DIPARTIMENTO MATH INFORMAT 56941 0% 78% 7
3 INT TRAINING GRP DARMSTADT TOKYO IRTG 1529 52295 0% 100% 5
4 FAK ELEKTROTECH INFORMAT MATH 50486 0% 37% 13
5 MATH 47621 48% 0% 1388
6 HUA LOO KENG MATH 36123 1% 15% 23
7 BEIJING MATH INFORMAT SCI 20918 0% 100% 2
8 EDUC DIFERENCIALES ANAL NUMER 20918 0% 100% 2
9 HUN LOO KENG MATH 20918 0% 100% 2
10 OCACS 34229 20918 0% 100% 2

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF MATHEMATICAL FLUID MECHANICS 277672 4% 25% 107
2 JOURNAL OF DIFFERENTIAL EQUATIONS 43315 6% 2% 173
3 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 32394 3% 3% 89
4 NONLINEARITY 24242 3% 3% 87
5 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 23410 3% 3% 90
6 COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 20468 2% 3% 69
7 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 17075 5% 1% 141
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 14404 2% 2% 68
9 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 12644 2% 2% 67
10 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 12328 1% 3% 41

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 REGULARITY CRITERION 1568476 6% 93% 162 Search REGULARITY+CRITERION Search REGULARITY+CRITERION
2 REGULARITY CRITERIA 900496 3% 97% 89 Search REGULARITY+CRITERIA Search REGULARITY+CRITERIA
3 NAVIER STOKES EQUATIONS 691287 16% 14% 476 Search NAVIER+STOKES+EQUATIONS Search NAVIER+STOKES+EQUATIONS
4 GLOBAL REGULARITY 665574 3% 64% 99 Search GLOBAL+REGULARITY Search GLOBAL+REGULARITY
5 QUASI GEOSTROPHIC EQUATION 423872 2% 70% 58 Search QUASI+GEOSTROPHIC+EQUATION Search QUASI+GEOSTROPHIC+EQUATION
6 MHD EQUATIONS 362149 2% 56% 62 Search MHD+EQUATIONS Search MHD+EQUATIONS
7 BLOW UP CRITERION 271978 2% 49% 53 Search BLOW+UP+CRITERION Search BLOW+UP+CRITERION
8 STRONG SOLUTION 258632 4% 22% 110 Search STRONG+SOLUTION Search STRONG+SOLUTION
9 SUITABLE WEAK SOLUTIONS 239297 1% 74% 31 Search SUITABLE+WEAK+SOLUTIONS Search SUITABLE+WEAK+SOLUTIONS
10 NEMATIC LIQUID CRYSTAL FLOW 230533 1% 96% 23 Search NEMATIC+LIQUID+CRYSTAL+FLOW Search NEMATIC+LIQUID+CRYSTAL+FLOW

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 CHAE, D , CONSTANTIN, P , WU, JH , (2012) DISSIPATIVE MODELS GENERALIZING THE 2D NAVIER-STOKES AND SURFACE QUASI-GEOSTROPHIC EQUATIONS.INDIANA UNIVERSITY MATHEMATICS JOURNAL. VOL. 61. ISSUE 5. P. 1997-2018 79 96% 6
2 CHAE, D , CONSTANTIN, P , WU, JH , (2011) INVISCID MODELS GENERALIZING THE TWO-DIMENSIONAL EULER AND THE SURFACE QUASI-GEOSTROPHIC EQUATIONS.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 202. ISSUE 1. P. 35-62 72 96% 33
3 WU, JH , XU, XJ , YE, Z , (2015) GLOBAL SMOOTH SOLUTIONS TO THE N-DIMENSIONAL DAMPED MODELS OF INCOMPRESSIBLE FLUID MECHANICS WITH SMALL INITIAL DATUM.JOURNAL OF NONLINEAR SCIENCE. VOL. 25. ISSUE 1. P. 157 -192 65 97% 0
4 CONSTANTIN, P , LAI, MC , SHARMA, R , TSENG, YH , WU, JH , (2012) NEW NUMERICAL RESULTS FOR THE SURFACE QUASI-GEOSTROPHIC EQUATION.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 50. ISSUE 1. P. 1-28 60 98% 5
5 WU, JH , XU, XJ , XUE, LT , YE, Z , (2016) REGULARITY RESULTS FOR THE 2D BOUSSINESQ EQUATIONS WITH CRITICAL OR SUPERCRITICAL DISSIPATION.COMMUNICATIONS IN MATHEMATICAL SCIENCES. VOL. 14. ISSUE 7. P. 1963 -1997 46 94% 0
6 GALA, S , RAGUSA, MA , (2017) NOTE ON THE WEAK-STRONG UNIQUENESS CRITERION FOR THE BETA-QG IN MORREY-CAMPANATO SPACE.APPLIED MATHEMATICS AND COMPUTATION. VOL. 293. ISSUE . P. 65 -71 20 100% 2
7 CONSTANTIN, P , TARFULEA, A , VICOL, V , (2015) LONG TIME DYNAMICS OF FORCED CRITICAL SQG.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 335. ISSUE 1. P. 93 -141 53 70% 6
8 BISWAS, A , MARTINEZ, VR , SILVA, P , (2015) ON GEVREY REGULARITY OF THE SUPERCRITICAL SQG EQUATION IN CRITICAL BESOV SPACES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 269. ISSUE 10. P. 3083 -3119 41 95% 0
9 HAN, PG , (2016) LARGE TIME BEHAVIOR FOR THE NONSTATIONARY NAVIER-STOKES FLOWS IN THE HALF-SPACE.ADVANCES IN MATHEMATICS. VOL. 288. ISSUE . P. 1 -58 33 100% 2
10 SU, X , (2016) THE GLOBAL ATTRACTOR OF THE 2D BOUSSINESQ SYSTEM WITH FRACTIONAL VERTICAL DISSIPATION.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 38 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 15111 PRIMITIVE EQUATIONS//SCI COMP PL MATH//PL MATH SCI COMP
2 22480 APPROXIMATE DECONVOLUTION//NS ALPHA//SCOTT VOGELIUS ELEMENTS
3 16726 VORTEX SHEET//MUSKAT PROBLEM//CURVATURE SINGULARITY
4 13642 ROTATING OBSTACLE//FLUID RIGID BODY INTERACTION//ROTATING BODY
5 5435 COMPRESSIBLE NAVIER STOKES EQUATIONS//DENSITY DEPENDENT VISCOSITY//INCOMPRESSIBLE LIMIT
6 24033 KINETIC POLYMER MODELS//POLYMERIC FLOW MODELS//OLDROYD MODEL
7 14499 KURAMOTO SIVASHINSKY EQUATION//INCREMENTAL UNKNOWNS//INERTIAL MANIFOLDS
8 20585 MAXIMAL L P L Q REGULARITY//DEGENERATE BOUNDARY CONDITION//BABUSKAS PARADOX
9 17690 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
10 8973 KELLER SEGEL MODEL//LOGISTIC SOURCE//CHEMOTAXIS

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